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Why is a hexagon not equilateral but equiangular when it is formed with lines connecting the corners of squares that are on each side of an equilateral triangle?
Wiki User
∙ 13y ago
Equilateral triangles have three 60' angles, and the angles of any triangle always add to 180'. Attaching squares to each side of an equilateral triangle would also form three obtuse angles (360' - 90'- 90' - 60' = 120') and the resultant obtuse Isosceles triangles' hypotenuses would be greater in length than any side of the square since its two equal sides are the same length as the square. However, the angles of any corner of the newly formed hexagon would be 90' from the square plus 30' (30' = (180' - 120')/2) from the obtuse triangle, making this hexagon equiangular, but not equilateral.
JCS
Wiki User
∙ 13y ago
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When is an equilateral triangle not equiangular?
If a triangle is equiangular, it will have all equal angles. So, it might be similar to another equiangular triangle, but not congruent. It is not equilateral if the sides are not equal in length. All equiangular triangles are similar, but not all of them are congruent, which means they do not all have corresponding side lengths. But, all equilateral triangles are equiangular.
What is a 2-d shape with three corners?
equilateral triangle, isosceles triangle and a scalene triangle
How many corners on a equilateral triangle?
3 just like any other triangle
Shape with 3 sides and 3 corners?
equilateral triangle
What is a eqiulateral triangle?
An equilateral triangle is a triangle in which all three sides are equal. An example is a triangle with 60o in all three corners.
When is an equilateral triangle not equiangular?
If a triangle is equiangular, it will have all equal angles. So, it might be similar to another equiangular triangle, but not congruent. It is not equilateral if the sides are not equal in length. All equiangular triangles are similar, but not all of them are congruent, which means they do not all have corresponding side lengths. But, all equilateral triangles are equiangular.
What is a 2-d shape with three corners?
equilateral triangle, isosceles triangle and a scalene triangle
How many corners on a equilateral triangle?
3 just like any other triangle
Shape with 3 sides and 3 corners?
equilateral triangle
What is a eqiulateral triangle?
An equilateral triangle is a triangle in which all three sides are equal. An example is a triangle with 60o in all three corners.
How do you classify an equilateral triangle?
When all three sides of the triangle are the same length. Additionally, all three corners of the triangle will be the same size as well.
What shape is a yield sign?
A yield sign has 3 corners and is the shape of a triangle. But specifically it is a equilateral triangle. Edited by: A.M.B.
Why the equilateral triangle an acute angels?
the three corners of a triangle always equal 180° , so the angles have to be 60 ° and 60 is an acute angle.
What is the name of a triangle that equals 60 degrees?
There are no triangles that equal 60 degrees, but a triangle with three 60 degree corners is called an equilateral trangle.
What is a triangle with different sized corners called?
With three different angles in the corners: Scalene With one different angles in a corner: Isosceles With all the same angles: Equilateral
What are the special features of a tetrahedrom?
Tetrahedron: It is the smallest "regular solid" (Edges=Faces+Corners-2), 4 faces, each one an equilateral triangle. 4 corners
Why are equilateral triangle and isosceles triangle the same?
They're both triangles, they both have 3 sides and 3 corners, all 3 angles on both add up to 180%.
